The motion of a mass-spring system with damping is governed by y''(t) + by' (t) + 36y(t) = 0; y(0) = 3, and y'(0) = 0. Find the equation of motion and sketch its graph for b=0, 10, 12, and 20. What is the equation of motion for b=0? y(t) = 3 cos (6t) (Type an exact answer, using radicals as needed.) What is the equation of motion for b= 10? y(t) = (Type an exact answer, using radicals as needed.) ...

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